Rights Systems and Aggregation Functions on Property Spaces

Autor: Marta Cardin
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Mathematics, Vol 11, Iss 17, p 3709 (2023)
Druh dokumentu: article
ISSN: 2227-7390
DOI: 10.3390/math11173709
Popis: The notion of decisive coalitions of voters with different grades of decisiveness is a part of the mathematical framework for many models in social choice theory. More generally, we study aggregation problems in which a subgroup of decision makers have the right to determine the properties of the aggregate. Then, we introduce property spaces and rights to properties and characterize aggregation operators that are consistent with rights to properties. Moreover, we define congruences in property spaces, and we propose a generalization of the Sugeno integral in our framework.
Databáze: Directory of Open Access Journals
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